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Finding the Fourth Proportional to 19,387.74, 29,077.29 and 7,697.82

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Solution

The fourth proportional to 19,387.74, 29,077.29 and 7,697.82 is: 11,545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,387.74 : 29,077.29 = 7,697.82 : x
  2. Step 2: Convert to fraction form
    19,387.74/29,077.29 = 7,697.82/x
  3. Step 3: Cross multiply
    19,387.74x = 29,077.29 × 7,697.82
  4. Step 4: Simplify right side
    19,387.74x = 223,831,744.51
  5. Step 5: Solve for x
    x = 223,831,744.51/19,387.74
  6. Step 6: Final answer
    x = 11,545.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.